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Some clarification about the columns: the average Hot Network Question on Workplace needs 9 hours and 27 minutes to become an HNQ, has 898 views in that period, which amounts to 84.7 views per hour. It spends (on average) 1.5 days in the HNQ and gets just over 10k views in that period. Not all of those views will be via the HNQ list, but if you subtract the views/hour from before the HNQ period, you'll get a decent estimate.

Some clarification about the columns: the average Hot Network Question on Workplace needs 9 hours and 27 minutes to become an HNQ (slightly more than the minimum of 8 hours) and has 898 views in that period, which amounts to 84.7 views per hour. It spends (on average) 1.5 days in the HNQ and gets just over 10k views in that period. Not all of those views will be via the HNQ list, but if you subtract the views/hour from before the HNQ period, you'll get a decent estimate.

site                [-------BEFORE HNQ------]   [-------DURING HNQ------]   [Questions] [Spots]
                    views   duration    views   views   duration    views   #   %       #   %
                                        /hour                       /hour
================================================================================================
workplace           898     09:27:00    84.7    10157   36:20:00    364.9   17  1.65    8   3.04
skeptics            444     09:52:00    34.3    11023   59:51:00    188.4   74  0.29    38  0.89
interpersonal       398     10:07:00    33.9    8388    52:40:00    153.2   87  0.19    49  0.50
movies              138     09:00:00    14.3    4728    33:09:00    140.2   46  0.64    34  1.05
parenting           325     10:17:00    14.7    7057    52:26:00    139.4   101 0.13    65  0.36
money               269     09:44:00    21.1    5215    37:25:00    124.2   30  1.15    14  2.18
academia            277     09:17:00    23.9    4960    38:51:00    121.1   15  1.83    4   3.62
softwareengineering 183     09:20:00    19.4    4119    34:24:00    112.1   62  0.39    44  0.69
security            283     09:41:00    15.9    5691    46:50:00    109.0   43  0.72    21  1.72
politics            252     09:32:00    22.1    4387    36:37:00    105.6   18  1.64    7   3.04

The last four columns are two ways of ranking all sites; by the number of distinct questions in the list, and the number of spots, i.e. how often the site occupies a place in the list. Of all Hot Network Questions in the network, 1.65% of those are Workplace questions, while if you pick a random Hot Network Question, it will be a Workplace question 3.04% of the time.

site                [-------BEFORE HNQ------]   [-------DURING HNQ------]   [Questions]     [Spots]
                    views   duration    views   views   duration    views   Ra  #   %       Ra  %
                                        /hour                       /hour   nk              nk
====================================================================================================
workplace           898     09:27:00    84.7    10157   36:20:00    364.9   17  488 1.65    8   3.04
skeptics            444     09:52:00    34.3    11023   59:51:00    188.4   74  85  0.29    38  0.89
interpersonal       398     10:07:00    33.9    8388    52:40:00    153.2   87  55  0.19    49  0.50
movies              138     09:00:00    14.3    4728    33:09:00    140.2   46  191 0.64    34  1.05
parenting           325     10:17:00    14.7    7057    52:26:00    139.4   101 40  0.13    65  0.36
money               269     09:44:00    21.1    5215    37:25:00    124.2   30  340 1.15    14  2.18
academia            277     09:17:00    23.9    4960    38:51:00    121.1   15  543 1.83    4   3.62
softwareengineering 183     09:20:00    19.4    4119    34:24:00    112.1   62  117 0.39    44  0.69
security            283     09:41:00    15.9    5691    46:50:00    109.0   43  215 0.72    21  1.72
politics            252     09:32:00    22.1    4387    36:37:00    105.6   18  487 1.64    7   3.04

The last five columns are two ways of ranking all sites; by the number of distinct questions in the list, and the number of spots, i.e. how often the site occupies a place in the list. Of all Hot Network Questions in the network, 1.65% of those are Workplace questions, while if you pick a random Hot Network Question, it will be a Workplace question 3.04% of the time.

Data was gathered by downloading the Hot Network Question list every 3 minutes (similar to here). The main difference is that every 15 minutes, additional data about the questions is retrieved as well via the Stack Exchange API, including the number of views and the scores. Part of this data is loaded into a PostgreSQL database, of which a backup file is available here; all data relevant for this analysis is in the snapshots table.

It's rather hard to say something about the least exposed sites; the list contains 156 entries, while there are about a dozen more sites which could appear in the HNQ but simply lacked the questions. Some of the sites who made the list had only one or two HNQs; not enough to perform a reliable analysis.

Data was gathered by downloading the Hot Network Question list every 3 minutes (similar to here). The main difference is that every 15 minutes, additional data about the questions is retrieved as well via the Stack Exchange API, including the number of views and the scores. Part of this data is loaded into a PostgreSQL database, of which a backup file is available here; all data relevant for this analysis is in the snapshots table.